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Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators

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Abstract

The Newton-Kantorovich iterative regularization for nonlinear ill-posed equations involving monotone operators in Hilbert spaces is developed for the case of accretive operators in Banach spaces. An estimate for the convergence rates of the method is established.

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Authors and Affiliations

  1. Institute of Information Technology, National Center of National Sciences and Technology, Vietnam

    Buong Nguyen

  2. Milit. Technical University, Vietnam

    Quang Vu

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  1. Buong Nguyen
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  2. Quang Vu
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 2, pp. 271–276, February, 2005.

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Nguyen, B., Vu, Q. Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators. Ukr Math J 57, 323–330 (2005). https://doi.org/10.1007/s11253-005-0192-9

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  • DOI: https://doi.org/10.1007/s11253-005-0192-9

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